Question

The perimeter of a rhombus is 45 cm. If its height is 8 cm, calculate its area.

Answer 1

Answer:

90cm²

Step-by-step explanation:

as all sides of rhombis are same if we consider side of rhombus x then its perimeter becomes 4x and we are given perimeter 45 so 4x=45 x=45/4 x=11.25 so x is side or base of rhombus

are of rhombus =base *height

area of rhombus =11.25*8

area of rhombus =90cm²

Answer 2

The property of the rhombus says,

❆ All sides are equal and, opposite sides are parallel to each other.

✔ First, we will find the side, as the rhombus has four sides we will divide the given perimeter by 4.

$\large\text{45}\:\div\:\large\text{4}$

${\large{\text{\sf{11.25}}}$

✔ Now, we will construct the rhombus, so that it would be easier to understand.

Formula of the area of rhombus = Base x Height

$\rule{210pt}{2pt}$

Area = b x h

Area = 11.25 x 8

Area = 90 ${\sf{cm^2$

$\rule{210pt}{2pt}$

${\Large{\text{\sf{Answer:}}}$

${\boxed{\sf{90\:cm^2}}$